Primal-dual Interior-point Algorithms for Second-order Cone Optimization Based on a New Parametric Kernel Function

Acta Mathematica Sinica English Series ◽

10.1007/s10114-007-0967-z ◽

2007 ◽

Vol 23 (11) ◽

pp. 2027-2042 ◽

Author(s):

Yan Qin Bai ◽

Guo Qiang Wang

Keyword(s):

Kernel Function ◽

Interior Point ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone ◽

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Primal-Dual Interior-Point Methods for Second-Order Cone Complementarity Based on a New Class of Kernel Function

2010 Third International Joint Conference on Computational Science and Optimization ◽

10.1109/cso.2010.84 ◽

2010 ◽

Author(s):

Xue-mei Yang ◽

Hua-li Zhao ◽

Guo-ling Hu

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Second Order ◽

New Class ◽

Second Order Cone ◽

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Primal–dual interior-point algorithms for second-order cone optimization based on kernel functions

Nonlinear Analysis ◽

10.1016/j.na.2008.07.016 ◽

2009 ◽

Vol 70 (10) ◽

pp. 3584-3602 ◽

Author(s):

Y.Q. Bai ◽

G.Q. Wang ◽

C. Roos

Keyword(s):

Interior Point ◽

Kernel Functions ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone ◽

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A large-update primal–dual interior-point algorithm for second-order cone optimization based on a new proximity function

Optimization ◽

10.1080/02331934.2016.1147034 ◽

2016 ◽

Vol 65 (7) ◽

pp. 1477-1496 ◽

Author(s):

S. Fathi-Hafshejani ◽

H. Mansouri ◽

M. Reza Peyghami

Keyword(s):

Interior Point ◽

Second Order ◽

Interior Point Algorithm ◽

Proximity Function ◽

Second Order Cone ◽

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A New Infeasible Interior-Point Method Based on a Non-Coercive Kernel Function with Improved Centering Steps for Second-Order Cone Optimization

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1065886 ◽

2015 ◽

Vol 36 (10) ◽

pp. 1322-1338

Author(s):

B. Kheirfam

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Method ◽

Second Order ◽

Point Method ◽

Second Order Cone ◽

Infeasible Interior Point Method

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Interior-point method for second-order cone programming based on a simple kernel function

2010 Second International Conference on Computational Intelligence and Natural Computing ◽

10.1109/cinc.2010.5643888 ◽

2010 ◽

Author(s):

Li Dong ◽

Jingyong Tang

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Method ◽

Second Order ◽

Point Method ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone ◽

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Primal-Dual Interior-Point Algorithms for Semidefinite Optimization Based on a Simple Kernel Function

Journal of Mathematical Modelling and Algorithms ◽

10.1007/s10852-005-3561-3 ◽

2005 ◽

Vol 4 (4) ◽

pp. 409-433 ◽

Author(s):

G. Q. Wang ◽

Y. Q. Bai ◽

C. Roos

Keyword(s):

Kernel Function ◽

Interior Point ◽

Semidefinite Optimization ◽

Interior Point Algorithms ◽

Primal Dual ◽

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A full-step interior-point algorithm for second-order cone optimization based on a simple locally kernel function

Optimization Methods and Software ◽

10.1080/10556788.2012.709855 ◽

2013 ◽

Vol 28 (3) ◽

pp. 619-639

Author(s):

Lipu Zhang ◽

Yanqin Bai ◽

Yinghong Xu

Keyword(s):

Kernel Function ◽

Interior Point ◽

Second Order ◽

Interior Point Algorithm ◽

Second Order Cone

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On extending kernel-based interior point algorithms for linear programming to convex quadratic second-order cone programming

2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) ◽

10.1109/fskd.2015.7382065 ◽

2015 ◽

Author(s):

Yanfang Li ◽

Xibo Duan ◽

Jia Gu

Keyword(s):

Linear Programming ◽

Interior Point ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Interior Point Algorithms ◽

Second Order Cone

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A new kernel function yielding the best known iteration bounds for primal-dual interior-point algorithms

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-6457-8 ◽

2009 ◽

Vol 25 (12) ◽

pp. 2169-2178 ◽

Author(s):

Yan Qin Bai ◽

Jin Li Guo ◽

Cornelis Roos

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Algorithms ◽

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Analysis of complexity of primal-dual interior-point algorithms based on a new kernel function for linear optimization

Numerical Algebra Control & Optimization ◽

10.3934/naco.2015.5.37 ◽

2015 ◽

Vol 5 (1) ◽

pp. 37-46

Author(s):

Siqi Li ◽

◽

Weiyi Qian

Keyword(s):

Kernel Function ◽

Interior Point ◽

Linear Optimization ◽

Interior Point Algorithms ◽

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